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Simplifying 5(x + -1y + 6 + z) = 0 Reorder the terms: 5(6 + x + -1y + z) = 0 (6 * 5 + x * 5 + -1y * 5 + z * 5) = 0 (30 + 5x + -5y + 5z) = 0 Solving 30 + 5x + -5y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5x + -5y + -30 + 5z = 0 + -30 Reorder the terms: 30 + -30 + 5x + -5y + 5z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5x + -5y + 5z = 0 + -30 5x + -5y + 5z = 0 + -30 Combine like terms: 0 + -30 = -30 5x + -5y + 5z = -30 Add '5y' to each side of the equation. 5x + -5y + 5y + 5z = -30 + 5y Combine like terms: -5y + 5y = 0 5x + 0 + 5z = -30 + 5y 5x + 5z = -30 + 5y Add '-5z' to each side of the equation. 5x + 5z + -5z = -30 + 5y + -5z Combine like terms: 5z + -5z = 0 5x + 0 = -30 + 5y + -5z 5x = -30 + 5y + -5z Divide each side by '5'. x = -6 + y + -1z Simplifying x = -6 + y + -1z
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